A scheme is proposed for the teleportation of atomic states within cavities. The scheme is insensitive to the cavity field states and cavity decay. The teleportation may be achieved in a simple way. We show how the idea can be used to generate multiatom entangled states. In order to entangle it atoms, we require n - 1 cavities and allow the first cavity to exchange energy with the environment. The other n - 2 cavities are always in the vacuum state and thus the cavity decay is suppressed.
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